The variational discrete element method developed in [28] for dynamic elasto-plastic computations is adapted to compute the deformation of elastic Cosserat materials. In addition to cellwise displacement degrees of freedom (dofs), cellwise rotational dofs are added. A reconstruction is devised to obtain P 1 non-conforming polynomials in each cell and thus constant strains and stresses in each cell. The method requires only the usual macroscopic parameters of a Cosserat material and no microscopic parameter. Numerical examples show the robustness of the method for both static and dynamic computations in two and three dimensions.
@article{arxiv.2101.08712,
title = {A variational discrete element method for the computation of Cosserat elasticity},
author = {Frédéric Marazzato},
journal= {arXiv preprint arXiv:2101.08712},
year = {2022}
}